(3t^3-4t^2+1)(2t^2-4)=

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Solution for (3t^3-4t^2+1)(2t^2-4)= equation: 


Simplifying
(3t3 + -4t2 + 1)(2t2 + -4) = 0

Reorder the terms:
(1 + -4t2 + 3t3)(2t2 + -4) = 0

Reorder the terms:
(1 + -4t2 + 3t3)(-4 + 2t2) = 0

Multiply (1 + -4t2 + 3t3) * (-4 + 2t2)
(1(-4 + 2t2) + -4t2 * (-4 + 2t2) + 3t3 * (-4 + 2t2)) = 0
((-4 * 1 + 2t2 * 1) + -4t2 * (-4 + 2t2) + 3t3 * (-4 + 2t2)) = 0
((-4 + 2t2) + -4t2 * (-4 + 2t2) + 3t3 * (-4 + 2t2)) = 0
(-4 + 2t2 + (-4 * -4t2 + 2t2 * -4t2) + 3t3 * (-4 + 2t2)) = 0
(-4 + 2t2 + (16t2 + -8t4) + 3t3 * (-4 + 2t2)) = 0
(-4 + 2t2 + 16t2 + -8t4 + (-4 * 3t3 + 2t2 * 3t3)) = 0
(-4 + 2t2 + 16t2 + -8t4 + (-12t3 + 6t5)) = 0

Reorder the terms:
(-4 + 2t2 + 16t2 + -12t3 + -8t4 + 6t5) = 0

Combine like terms: 2t2 + 16t2 = 18t2
(-4 + 18t2 + -12t3 + -8t4 + 6t5) = 0

Solving
-4 + 18t2 + -12t3 + -8t4 + 6t5 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 9t2 + -6t3 + -4t4 + 3t5) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + 9t2 + -6t3 + -4t4 + 3t5)' equal to zero and attempt to solve:

Simplifying
-2 + 9t2 + -6t3 + -4t4 + 3t5 = 0

Solving
-2 + 9t2 + -6t3 + -4t4 + 3t5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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